×

Observations on vorticity creation boundary conditions. (English) Zbl 0671.76030

Mathematical aspects of vortex dynamics, Proc. Workshop, Leesburg/VA 1988, 144-159 (1989).
Summary: [For the entire collection see Zbl 0668.00019.]
We discuss some issues related to the problem of vorticity boundary conditions. We outline the origination of the problem and briefly discuss three solution procedures which have been used to overcome it. We primarily focus on one method - that which employs boundary vorticity creation. We give an example which shows the equivalence between creation type boundary conditions and those which exploit the relationship between the vorticity and the stream function on the boundary. We also show how one can obtain greater than first order accuracy in time for methods employing creation type boundary conditions. Lastly, we show by example the problems which arise when the boundary conditions on the vorticity are such that the no-slip condition on the velocity is satisfied only to truncation error rather than to roundoff error.

MSC:

76B47 Vortex flows for incompressible inviscid fluids
76M99 Basic methods in fluid mechanics

Citations:

Zbl 0668.00019